<abstract xmlns="http://www.w3.org/1999/xhtml"><p> In this paper, our aim is to introduce the notion of a composition (m, n, k)-hyperring and to analyze its properties. We also consider the algebraic structure of (m, n, k) hyperrings which is a generalization of composition rings and composition hyperrings. Also, the isomorphism theorems of ring theory are derived in the context of composition (m, n, k)-hyperrings.</p></abstract>

In this paper, our aim is to introduce the notion of a composition (m, n, k)-hyperring and to analyze its properties. We also consider the algebraic structure of (m, n, k) hyperrings which is a generalization of composition rings and composition hyperrings. Also, the isomorphism theorems of ring theory are derived in the context of composition (m, n, k)-hyperrings.

Construction of composition (m, n, k)-hyperrings

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"Construction of composition (m, n, k)-hyperrings"}

In this paper, our aim is to introduce the notion of a composition (m, n, k)-hyperring and to analyze its properties. We also consider the algebraic structure...

Construction of composition (m, n, k)-hyperrings

Published Online: Sep 21, 2017

Page range: 177 - 188

Received: Dec 03, 2014

Accepted: Jan 07, 2015

DOI: https://doi.org/10.1515/auom-2016-0009

Keywords
Hyperring, Composition (m, n, k)-hyperring, Strong homomorphism

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Construction of composition (m, n, k)-hyperrings

Published Online: Sep 21, 2017

Page range: 177 - 188

Received: Dec 03, 2014

Accepted: Jan 07, 2015

DOI: https://doi.org/10.1515/auom-2016-0009

KeywordsHyperring, Composition (m, n, k)-hyperring, Strong homomorphism

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Hyperring, Composition (m, n, k)-hyperring, Strong homomorphism